Lab #02
To measure frequency of microwave source using cavity
resonator
Components
Console unit
Microwave source
Attenuator
Cavity Resonator
Fixed diode detector
Resistive load
Theory
We can calculate frequency of the source using tis formula
f=v/=c/0=c√1/g^2 + 1/c^2
where
g is guided wavelength
0 is Free space wavelength and
c is Cut off wavelength
For Mode E01 of cavity resonator c =37.1mm and g can be calculated
from analytical data that cavity resonator will resonates when
L=ng/2 ,where n=1,2,3……. Shows order of resonance,in this case n=1 because
only first order is present in X Band.
Thus for n=1, g=2L
Calculation
L(mm)=(linear scale reading)+(circular scale reading *0.01)
So
L(mm)=17+(20*0.01)
L(mm)=17.2
By putting in equation
f=c√1/4L^2 + 1/c^2
we get f=10.6 GHz which is approximately equal to
microwave source frequency 10.4GHz
From graph it is f=10.57GHz
Circuit Diagram
Console unit
output input
Microwave
source Attenuator Cavity Fixed diode
meter Resistive
detector
load
Procedure
Set the circuit accordimg to circuit diagram
Check output for given input ,initially Pin=Pout ,so needle in the console unit
does not show any deflection
Adjust L in such a way that the needle will show deflection when cavity
frequency will be equal to frequency of microwave source(at resonance
,circuit will absorb maximum energy,in this case Pin will not be equal to
Pout).
At this position look for linear scale reading and circular scale reading.
Finally calculate L and calculate frequency by putting it into above equation
or by looking in given graph with respect to this calculated length.
Measured data
Linear scale reading(mm)=17, Circular length(mm)=20
UNIVERSITY OF ENGINEERING & TECHNOLOGY,
PESHAWAR
MICROWAVE ENGINEERING
LAB REPORT
Israr Ahmad
16PWELE4958
SEC-C
7th Semester
Department:Electrical (comm)